Simplify the expression.

Question

Show your work.

(-2y+5)(y+3)

A. -2y^2+8y+15

B. -2y^2-y+15

C. 2y^2+8y+8

D. 2y^2-y+8

Answer 1

-2y^2+8y+15

(Use FOIL method: First, Outer, Inner, Last)

-2y * y = -2y^2

-2y * 3 = -6y

5 * y = 5y

5 * 3 = 15

Combine like terms:

-2y^2 + 5y - 6y + 15 = -2y^2 + (-1)y + 15 = -2y^2 - y + 15

Answer: B. -2y^2-y+15